3(2w-5)-(5w+1)=3

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Solution for 3(2w-5)-(5w+1)=3 equation: 


Simplifying
3(2w + -5) + -1(5w + 1) = 3

Reorder the terms:
3(-5 + 2w) + -1(5w + 1) = 3
(-5 * 3 + 2w * 3) + -1(5w + 1) = 3
(-15 + 6w) + -1(5w + 1) = 3

Reorder the terms:
-15 + 6w + -1(1 + 5w) = 3
-15 + 6w + (1 * -1 + 5w * -1) = 3
-15 + 6w + (-1 + -5w) = 3

Reorder the terms:
-15 + -1 + 6w + -5w = 3

Combine like terms: -15 + -1 = -16
-16 + 6w + -5w = 3

Combine like terms: 6w + -5w = 1w
-16 + 1w = 3

Solving
-16 + 1w = 3

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + 1w = 3 + 16

Combine like terms: -16 + 16 = 0
0 + 1w = 3 + 16
1w = 3 + 16

Combine like terms: 3 + 16 = 19
1w = 19

Divide each side by '1'.
w = 19

Simplifying
w = 19

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